Information on Result #655047
Linear OA(8123, 174, F81, 15) (dual of [174, 151, 16]-code), using construction X applied to AG(F,155P) ⊂ AG(F,157P) based on
- linear OA(8122, 171, F81, 15) (dual of [171, 149, 16]-code), using algebraic-geometric code AG(F,155P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8120, 171, F81, 13) (dual of [171, 151, 14]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8182, 6735, F81, 30) (dual of [6735, 6653, 31]-code) | [i] | (u, u+v)-Construction | |